Differentiating e^x and its friends

Remember:

1. e is a number whose value is about 2.72.

2. e is used as the base for the exponential and logarithm functions, e^x and $\ln x$.

The function e^x has the following amazing property:

$$\boxed{\frac{d}{dx} (e^x) = e^x}$$

The derivative of e^x is just e^x again. That's kind of like giving birth to yourself, a very difficult event to achieve, and one that would get